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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.16666 |
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| _version_ | 1866911102537826304 |
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| author | Linckelmann, Markus |
| author_facet | Linckelmann, Markus |
| contents | We show that dualising transfer maps in Hochschild cohomology of symmetric algebras over complete discrete valuations rings commutes with Tate duality. This is analogous to a similar result for Tate cohomology of symmetric algebras over fields. We interpret both results in the broader context of Calabi-Yau triangulated categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_16666 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Tate Duality and Transfer for Symmetric Algebras Over Complete Discrete Valuation Rings Linckelmann, Markus Representation Theory Rings and Algebras 18G65, 16E40 We show that dualising transfer maps in Hochschild cohomology of symmetric algebras over complete discrete valuations rings commutes with Tate duality. This is analogous to a similar result for Tate cohomology of symmetric algebras over fields. We interpret both results in the broader context of Calabi-Yau triangulated categories. |
| title | Tate Duality and Transfer for Symmetric Algebras Over Complete Discrete Valuation Rings |
| topic | Representation Theory Rings and Algebras 18G65, 16E40 |
| url | https://arxiv.org/abs/2310.16666 |